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Physics, 13.12.2019 05:31 deidaralove90

Abeam of green light is diffracted by a slit of width 0.55mm. the diffraction pattern forms on a wall 2.06 m beyond the slit. the distance between the positions of zero intensity on both sidesof the central bright fringe is 4.1 mm. what is the wavelength ofthe laser light in nm? hint: dark fringes in the diffraction pattern produced by a singleslit with width w are found at angles θ for whichwsinθ = mλ.first dark fringe on either side: m = 1wsinθ = λ.w = 0.55 10-3 m. the distance between the positions of zero intensity on bothsides of the central bright fringe is 4.1 mm, therefore thedistance between the center and a dark fringe on either side is z =(4.1/2) 10-3 m = 2.05 10-3 m. sinθ= z/l with l = 2.06 m. solve for λ. the answer will have units of m. divide by 10-9 to convert to nm.

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